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Sagot :
Answer:
x = 0.724
y = 3.966.
Explanation:
To solve the system, we need to isolate y in the first equation as follows:
[tex]\begin{gathered} 7x+2y=13 \\ 2y=13-7x \\ y=\frac{13-7x}{2} \\ y=6.5-3.5x \end{gathered}[/tex]Then, we can replace the value of y by 6.5 - 3.5x on the second equation as follows:
[tex]\begin{gathered} 3x+5y=22 \\ 3x+5(6.5-3.5x)=22 \\ 3x+5(6.5)-5(3.5x)=22 \\ 3x+32.5-17.5x=22 \\ -14.5x+32.5=22 \\ -14.5x=22-32.5 \\ -14.5x=-10.5 \\ x=\frac{-10.5}{-14.5} \\ x=0.724 \end{gathered}[/tex]Therefore, the value of y can be calculated as:
[tex]\begin{gathered} y=6.5-3.5x \\ y=6.5-3.5(0.724) \\ y=3.966 \end{gathered}[/tex]So, the solution of the system is x = 0.724 and y = 3.966.
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